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Finding the Fourth Proportional to 64,605.34, 96,781.62 and 42,350.80

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Solution

The fourth proportional to 64,605.34, 96,781.62 and 42,350.80 is: 63,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,605.34 : 96,781.62 = 42,350.80 : x
  2. Step 2: Convert to fraction form
    64,605.34/96,781.62 = 42,350.80/x
  3. Step 3: Cross multiply
    64,605.34x = 96,781.62 × 42,350.80
  4. Step 4: Simplify right side
    64,605.34x = 4,098,779,032.30
  5. Step 5: Solve for x
    x = 4,098,779,032.30/64,605.34
  6. Step 6: Final answer
    x = 63,443.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.